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Finding the Fourth Proportional to 8,161.67, 12,240.67 and 3,232.41

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Solution

The fourth proportional to 8,161.67, 12,240.67 and 3,232.41 is: 4,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.67 : 12,240.67 = 3,232.41 : x
  2. Step 2: Convert to fraction form
    8,161.67/12,240.67 = 3,232.41/x
  3. Step 3: Cross multiply
    8,161.67x = 12,240.67 × 3,232.41
  4. Step 4: Simplify right side
    8,161.67x = 39,566,864.11
  5. Step 5: Solve for x
    x = 39,566,864.11/8,161.67
  6. Step 6: Final answer
    x = 4,847.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.